Applied Asymptotic Expansions in Momenta and Masses

V.A. Smirnov

262 pages, parution le 06/02/2002

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Résumé

The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD.

Contents

1 Introduction
2 Feynman Integrals: a Brief Review
3 Why, Where and How to Expand
4 Off-Shell-Momentum Expansion
5 Large-Mass Expansion
6 Threshold Expansion. One Heavy Mass in the Threshold
7 Threshold Expansion. Two Masses in the Threshold
8 Sudakov Limits
9 Conclusion

A: Tables
B: Technical Details: Convergence and Asymptotic Behaviour

References
List of Symbols
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	V.A. Smirnov
Parution	06/02/2002
Nb. de pages	262
Format	16 x 24
Couverture	Broché
Poids	514g
Intérieur	Noir et Blanc
EAN13	9783540423348